Anyone can help me pls don't answer link (Permutation Formula)

1. In how many ways can 2 men and 3 women students line up in a canteen courter?

2. A volt consists of 5 letters and 4 number. How many possible lock codes are there if
a. no repetition of letters and numbers is allowed?
b. repetition of letters and numbers not allowed?

3. In how many ways can 9 horses be arranged in a merry-go-round?

4. SCIS will conduct a online beauty pageant "Search for Bininbing Sipnayan". For this year, 11
students join on the said event. In how many ways can 3rd runner up, 2nd runner up 1st runner
up and the title holder be selected?

5. How many distinct arrangement can be formed from the letters and numbers of following
a. COMMITTEE
b. MISSISSIPPI
c. BOOKKEEPER
d. TATTLER​

∠1≅∠2 by the alternate exterior angles theorem.

step-by-step explanation:

given, a ∥ b and ∠1 ≅ ∠3 .we have to prove that e ∥ f

we know that ∠1≅∠3 and that a || b because they are given. we see that by the alternate exterior angles theorem. therefore, ∠2≅∠3 by the transitive property. so, we can conclude that e || f by the converse alternate exterior angles theorem.

we have to fill the missing statement.

transitivity property states that if a = b and b = c, then a = c.

now, given ∠1≅∠3 and by transitivity property ∠2≅∠3 .

hence, to apply transitivity property one angle must be common which is not in result after applying this property which is ∠1.

the only options in which ∠1 is present are ∠1 and ∠2, ∠1 and ∠4

∠1 and ∠4 is not possible ∵ after applying transitivity we didn't get ∠4.

hence, the missing statement is ∠1≅∠2.

so, ∠1≅∠2 by the alternate exterior angles theorem.

answer: 1+1

step-by-step explanation: 1+1 is at least 2

110698.56 square miles

step-by-step explanation:

multiply 3.8 by 102

387.6

multiply 2.8 by 102

285.6

multiply those two to get